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Journal of Mechanical Science and Technology

, Volume 26, Issue 4, pp 1283–1290 | Cite as

Efficiency analysis of straight fin with variable heat transfer coefficient and thermal conductivity

  • Somayyeh SadriEmail author
  • Mohammad Reza Raveshi
  • Shayan Amiri
Article

Abstract

In this study, one type of applicable analytical method, differential transformation method (DTM), is used to evaluate the efficiency and behavior of a straight fin with variable thermal conductivity and heat transfer coefficient. Fins are widely used to enhance heat transfer between primary surface and the environment in many industrial applications. The performance of such a surface is significantly affected by variable thermal conductivity and heat transfer coefficient, particularly for large temperature differences. General heat transfer equation related to the fin is derived and dimensionalized. The concept of differential transformation is briefly introduced, and then this method is employed to derive solutions of nonlinear equations. Results are evaluated for several cases such as: laminar film boiling or condensation, forced convection, laminar natural convection, turbulent natural convection, nucleate boiling, and radiation. The obtained results from DTM are compared with the numerical solution to verify the accuracy of the proposed method. The effects of design parameters on temperature and efficiency are evaluated by some figures. The major aim of the present study, which is exclusive for this article, is to find the effect of the modes of heat transfer on fin efficiency. It has been shown that for radiation heat transfer, thermal efficiency reaches its maximum value.

Keywords

Variable thermal conductivity Variable heat transfer coefficient Straight fin Efficiency Differential transformation method (DTM) 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Somayyeh Sadri
    • 1
    Email author
  • Mohammad Reza Raveshi
    • 1
  • Shayan Amiri
    • 1
  1. 1.Faculty of Mechanical EngineeringK.N. Toosi University of TechnologyTehranIran

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